A simple and robust three-dimensional cracking-particle method without enrichment

Timon Rabczuk, Goangseup Zi, Stephane Bordas, Hung Nguyen-Xuan

    Research output: Contribution to journalArticlepeer-review

    852 Citations (Scopus)

    Abstract

    A new robust and efficient approach for modeling discrete cracks in meshfree methods is described. The method is motivated by the cracking-particle method (Rabczuk T., Belytschko T., International Journal for Numerical Methods in Engineering, 2004) where the crack is modeled by a set of cracked segments. However, in contrast to the above mentioned paper, we do not introduce additional unknowns in the variational formulation to capture the displacement discontinuity. Instead, the crack is modeled by splitting particles located on opposite sides of the associated crack segments and we make use of the visibility method in order to describe the crack kinematics. We apply this method to several two- and three-dimensional problems in statics and dynamics and show through several numerical examples that the method does not show any "mesh" orientation bias.

    Original languageEnglish
    Pages (from-to)2437-2455
    Number of pages19
    JournalComputer Methods in Applied Mechanics and Engineering
    Volume199
    Issue number37-40
    DOIs
    Publication statusPublished - 2010 Aug

    Bibliographical note

    Funding Information:
    The first author would like to thank the German Research Foundation (DFG) , Grant RA 1946/2-1 . The second author would like to thank the Agency for Defense Development (ADD) , Korea for Grant ADD-06-05-06 .

    Copyright:
    Copyright 2011 Elsevier B.V., All rights reserved.

    Keywords

    • Cohesive crack model
    • Dynamic fracture
    • Meshfree methods

    ASJC Scopus subject areas

    • Computational Mechanics
    • Mechanics of Materials
    • Mechanical Engineering
    • General Physics and Astronomy
    • Computer Science Applications

    Fingerprint

    Dive into the research topics of 'A simple and robust three-dimensional cracking-particle method without enrichment'. Together they form a unique fingerprint.

    Cite this